{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Analyze Big Financial Data**\n",
    "\n",
    "O'Reilly (2014)\n",
    "\n",
    "Yves Hilpisch"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img style=\"border:0px solid grey;\" src=\"http://hilpisch.com/python_for_finance.png\" alt=\"Python for Finance\" width=\"30%\" align=\"left\" border=\"0\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Buy the book ** |\n",
    "<a href='http://shop.oreilly.com/product/0636920032441.do' target='_blank'>O'Reilly</a> |\n",
    "<a href='http://www.amazon.com/Yves-Hilpisch/e/B00JCYHHJM' target='_blank'>Amazon</a>\n",
    "\n",
    "**All book codes & IPYNBs** |\n",
    "<a href=\"http://oreilly.quant-platform.com\">http://oreilly.quant-platform.com</a>\n",
    "\n",
    "**The Python Quants GmbH** | <a href='http://tpq.io' target='_blank'>http://tpq.io</a>\n",
    "\n",
    "**Contact us** | <a href='mailto:pff@tpq.io'>pff@tpq.io</a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Statistics (b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pylab import plt\n",
    "plt.style.use('ggplot')\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "import warnings; warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Principal Component Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "uuid": "a82b3a95-9ee0-4ac3-9601-16972b7728b0"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/site-packages/fix_yahoo_finance/__init__.py:43: DeprecationWarning: \n",
      "    Auto-overriding of pandas_datareader's get_data_yahoo() is deprecated and no longer available.\n",
      "    Use pdr_override() to explicitly override it.\n",
      "  DeprecationWarning)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: ImportWarning: can't resolve package from __spec__ or __package__, falling back on __name__ and __path__\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: ImportWarning: can't resolve package from __spec__ or __package__, falling back on __name__ and __path__\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: RuntimeWarning: numpy.dtype size changed, may indicate binary incompatibility. Expected 96, got 88\n",
      "  return f(*args, **kwds)\n",
      "/Users/yves/miniconda3/envs/py4fi/lib/python3.6/importlib/_bootstrap.py:219: ImportWarning: can't resolve package from __spec__ or __package__, falling back on __name__ and __path__\n",
      "  return f(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from pandas_datareader import data as pdr\n",
    "import fix_yahoo_finance as yf\n",
    "yf.pdr_override()\n",
    "from sklearn.decomposition import KernelPCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0.21.0'"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.__version__"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DAX Index and its 30 Stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "b5f51ac2-45b2-4a72-befd-27f38ef6f6d8"
   },
   "outputs": [],
   "source": [
    "symbols = ['ADS.DE', 'ALV.DE', 'BAS.DE', 'BAYN.DE', 'BEI.DE',\n",
    "           'BMW.DE', 'CBK.DE', 'CON.DE', 'DAI.DE', 'DB1.DE',\n",
    "           'DBK.DE', 'DPW.DE', 'DTE.DE', 'EOAN.DE', 'FME.DE',\n",
    "           'FRE.DE', 'HEI.DE', 'HEN3.DE', 'IFX.DE', 'LHA.DE',\n",
    "           'LIN.DE', 'LXS.DE', 'MRK.DE', 'MUV2.DE', 'RWE.DE',\n",
    "           'SAP.DE', 'SDF.DE', 'SIE.DE', 'TKA.DE', 'VOW3.DE',\n",
    "           '^GDAXI']"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "data = pdr.get_data_yahoo('^GDAXI')"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "data = pdr.get_data_yahoo('ADS.DE')"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "1556b1fa-99da-4122-8aa7-b9e06c069a21"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[*********************100%***********************]  1 of 1 downloaded\n",
      "CPU times: user 1.79 s, sys: 140 ms, total: 1.93 s\n",
      "Wall time: 9.03 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "data = pd.DataFrame()\n",
    "for sym in symbols:\n",
    "    # only retrieves data from Jan 2016 on\n",
    "    data[sym] = pdr.get_data_yahoo(sym, start='2016-1-1')['Adj Close']\n",
    "data = data.dropna()\n",
    "print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "uuid": "b4813521-7846-4660-8391-770fea7c318f"
   },
   "outputs": [],
   "source": [
    "dax = pd.DataFrame(data.pop('^GDAXI'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "03d4a81f-3bd8-47dd-a5b6-84f060fcdf97"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ADS.DE</th>\n",
       "      <th>ALV.DE</th>\n",
       "      <th>BAS.DE</th>\n",
       "      <th>BAYN.DE</th>\n",
       "      <th>BEI.DE</th>\n",
       "      <th>BMW.DE</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2016-01-04</th>\n",
       "      <td>85.340561</td>\n",
       "      <td>134.595428</td>\n",
       "      <td>65.316269</td>\n",
       "      <td>103.186607</td>\n",
       "      <td>80.494423</td>\n",
       "      <td>84.920876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-05</th>\n",
       "      <td>85.048096</td>\n",
       "      <td>135.026825</td>\n",
       "      <td>64.948990</td>\n",
       "      <td>103.372444</td>\n",
       "      <td>81.367630</td>\n",
       "      <td>84.525040</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-06</th>\n",
       "      <td>84.063484</td>\n",
       "      <td>135.458221</td>\n",
       "      <td>63.866512</td>\n",
       "      <td>101.885742</td>\n",
       "      <td>80.841721</td>\n",
       "      <td>81.726555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-07</th>\n",
       "      <td>82.757141</td>\n",
       "      <td>132.654144</td>\n",
       "      <td>62.310444</td>\n",
       "      <td>99.284004</td>\n",
       "      <td>78.867065</td>\n",
       "      <td>78.651917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2016-01-08</th>\n",
       "      <td>81.353317</td>\n",
       "      <td>130.971710</td>\n",
       "      <td>61.546906</td>\n",
       "      <td>96.542892</td>\n",
       "      <td>78.668602</td>\n",
       "      <td>76.810822</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               ADS.DE      ALV.DE     BAS.DE     BAYN.DE     BEI.DE     BMW.DE\n",
       "Date                                                                          \n",
       "2016-01-04  85.340561  134.595428  65.316269  103.186607  80.494423  84.920876\n",
       "2016-01-05  85.048096  135.026825  64.948990  103.372444  81.367630  84.525040\n",
       "2016-01-06  84.063484  135.458221  63.866512  101.885742  80.841721  81.726555\n",
       "2016-01-07  82.757141  132.654144  62.310444   99.284004  78.867065  78.651917\n",
       "2016-01-08  81.353317  130.971710  61.546906   96.542892  78.668602  76.810822"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.columns[:6]].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Applying PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "5ae896a2-8493-4d0c-978c-1b4f26ce2291"
   },
   "outputs": [],
   "source": [
    "scale_function = lambda x: (x - x.mean()) / x.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "uuid": "4503ea73-aa94-4187-b9c8-cbf00564bf7a"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA().fit(data.apply(scale_function))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "e6f9ebd8-1d61-4047-a254-fe0e524f4c8f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "252"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(pca.lambdas_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "1694bb38-778a-403f-82af-0129fdd3a260"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 9392.,  1421.,   910.,   524.,   271.,   185.,   123.,    73.,\n",
       "          65.,    47.])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.lambdas_[:10].round()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "8c11b92d-c1ea-48dd-a47a-fb4d980b5f40"
   },
   "outputs": [],
   "source": [
    "get_we = lambda x: x / x.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "uuid": "b72fcfcb-d6f0-4101-a59b-c8df516154e8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.70826487,  0.10714763,  0.06860432,  0.03950106,  0.02047238,\n",
       "        0.01396962,  0.00927544,  0.00552079,  0.00492846,  0.00351916])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_we(pca.lambdas_)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "d40695cd-b736-484d-bc11-4755eb1d3448"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9439902557878288"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "get_we(pca.lambdas_)[:5].sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Constructing a PCA Index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "uuid": "b4691f51-fa25-48d1-855d-907136ee39a7"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA(n_components=1).fit(data.apply(scale_function))\n",
    "dax['PCA_1'] = pca.transform(-data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "9addd109-7de2-4998-b2f0-11c72c3b98da"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1147b85f8>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7uDQvgQq7j4+YxYLS70hLy0Q9/XxqP99HQkTXzhWeMziGeFz859sifjPCRPLM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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1147a8f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "dax.apply(scale_function).plot(figsize=(8, 4))\n",
    "# tag: pca_1\n",
    "# title: German DAX index and PCA index with 1 component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "4b039aad-93a0-439b-b2d5-d24119604fa4"
   },
   "outputs": [],
   "source": [
    "pca = KernelPCA(n_components=5).fit(data.apply(scale_function))\n",
    "pca_components = pca.transform(-data)\n",
    "weights = get_we(pca.lambdas_)\n",
    "dax['PCA_5'] = np.dot(pca_components, weights)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "fc7a90b6-167b-44dc-9a31-38d479be9026"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1147d4128>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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z+ejFBiacmIOdNMJGJw5nzoC0c7CJ8VPRx09FcydBoHfCW6oWIgxEjRBl4zJ6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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1147fc400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "dax.apply(scale_function).plot(figsize=(8, 4))\n",
    "# tag: pca_2\n",
    "# title: German DAX index and PCA indices with 1 and 5 components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "ceb357ad-d98a-4618-8e73-a6dc77a80436"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 735967.,  735968.,  735969.,  735970.,  735971.,  735974.,\n",
       "        735975.,  735976.,  735977.,  735978.])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl_dates = mpl.dates.date2num(data.index.to_pydatetime())\n",
    "mpl_dates[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "60ae390c-9534-4e57-bc1e-42e261d0abc9"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x114ab42e8>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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O39X1o/ngeQMYHTia7ikDKK1KzpkjOxJLWhBiIgmCEELEwerajWR76kn3VGAYNj6CjE5d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\nIiJZVCCIiIhIlv8HRh4FTyCgSa8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1149a7dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(dax['PCA_5'], dax['^GDAXI'], c=mpl_dates)\n",
    "lin_reg = np.polyval(np.polyfit(dax['PCA_5'],\n",
    "                                dax['^GDAXI'], 1),\n",
    "                                dax['PCA_5'])\n",
    "plt.plot(dax['PCA_5'], lin_reg, 'r', lw=3)\n",
    "plt.grid(True)\n",
    "plt.xlabel('PCA_5')\n",
    "plt.ylabel('^GDAXI')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "                format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: pca_3\n",
    "# title: DAX return values against PCA return values with linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "2c9bea6f-bed0-49d0-83ad-a30c17b31922"
   },
   "outputs": [],
   "source": [
    "cut_date = '2017-3-1'\n",
    "early_pca = dax[dax.index < cut_date]['PCA_5']\n",
    "early_reg = np.polyval(np.polyfit(early_pca,\n",
    "                dax['^GDAXI'][dax.index < cut_date], 1),\n",
    "                early_pca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "0df5fdce-32ae-4b85-836d-91355f33bb90"
   },
   "outputs": [],
   "source": [
    "late_pca = dax[dax.index >= cut_date]['PCA_5']\n",
    "late_reg = np.polyval(np.polyfit(late_pca,\n",
    "                dax['^GDAXI'][dax.index >= cut_date], 1),\n",
    "                late_pca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "ad8b2336-b13f-49a2-92b9-3f7b340be327"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1a1b815fd0>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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EEDu8xcVF3L9wbtPJQb1Pa7c+8R9WnXVlwuRg/fLlkhyItmda+CWA5rsY9lFK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\nwL3cAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114ad4278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(dax['PCA_5'], dax['^GDAXI'], c=mpl_dates)\n",
    "plt.plot(early_pca, early_reg, 'r', lw=3)\n",
    "plt.plot(late_pca, late_reg, 'r', lw=3)\n",
    "plt.grid(True)\n",
    "plt.xlabel('PCA_5')\n",
    "plt.ylabel('^GDAXI')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "                format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: pca_7\n",
    "# title: DAX index values against PCA index values with early and late regression (regime switch)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bayesian Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bayes' Formula"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PyMC3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "72026681-577f-49e6-abe0-f5554e39fa06"
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')\n",
    "import pymc3 as pm\n",
    "import numpy as np\n",
    "np.random.seed(1000)\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Introductory Example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "4b612fde-e947-4a33-a275-6202d7ded7bb"
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0, 10, 500)\n",
    "y = 4 + 2 * x + np.random.standard_normal(len(x)) * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "ad9f9a77-ffb5-4eed-a79b-bd2ea33ae0e2"
   },
   "outputs": [],
   "source": [
    "reg = np.polyfit(x, y, 1)\n",
    "  # linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "uuid": "4f6cbf6d-06ce-4f8d-a7a7-1209004b686a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0,0.5,'y')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Q25gbXDxgLm/K/DzJt5ih8GkhPpj3JXqdDnShows/N+f9Q9bydLFZQalRlVGb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\n+6/lkO7hqxNX8duG7YPaeDSdT9UsxKO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ab9bomOFOxlOzlwyLA6fOyIqToWVZGSRAgMmx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1d4390b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(x, y, c=y, marker='v')\n",
    "plt.plot(x, reg[1] + reg[0] * x, lw=2.0)\n",
    "plt.colorbar()\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "# tag: pm_fig_0\n",
    "# title: Sample data points a regresion line\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "uuid": "5903887a-2a6b-4dce-89f1-9de9be686ef4"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 2.03384161,  3.77649234])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reg"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true,
    "uuid": "46936559-a438-475e-bd5b-f669abed06e2"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -1,068.5, ||grad|| = 60.625: 100%|██████████| 28/28 [00:00<00:00, 1536.35it/s]  \n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model: \n",
    "        # model specifications in PyMC3\n",
    "        # are wrapped in a with-statement\n",
    "    # define priors\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=20)\n",
    "    beta = pm.Normal('beta', mu=0, sd=20)\n",
    "    sigma = pm.Uniform('sigma', lower=0, upper=10)\n",
    "    \n",
    "    # define linear regression\n",
    "    y_est = alpha + beta * x\n",
    "    \n",
    "    # define likelihood\n",
    "    likelihood = pm.Normal('y', mu=y_est, sd=sigma, observed=y)\n",
    "    \n",
    "    # inference\n",
    "    start = pm.find_MAP()\n",
    "      # find starting value by optimization\n",
    "    step = pm.NUTS()\n",
    "      # instantiate MCMC sampling algorithm\n",
    "    trace = pm.sample(100, step, start=start, progressbar=False)\n",
    "      # draw 100 posterior samples using NUTS sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "e06c4eed-10d4-4d4c-aea0-4e4164f4d7f5"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'alpha': 3.8382476942471238,\n",
       " 'beta': 2.0305028742335192,\n",
       " 'sigma': 2.0519198471922233,\n",
       " 'sigma_interval__': -1.3541545435667997}"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trace[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "c172bd48-8b11-4128-9e97-f20ce835d319"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1d4a1080>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OwjwTWLPJvBBYWuurgKuAP873eO4q4FyNy2LxE8mkkUfuQ37mwLHDsHo96n1/hjr/MuuW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kPRnOEUQRWNuujMWBGsApNKpRQqFsutrwIY9FIAgzVeAQfDJr1JerFKgIUEBQqlHo7G4AChfAcN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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1e4c5e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1d4a1080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = pm.traceplot(trace, lines={'alpha': 4, 'beta': 2, 'sigma': 2})\n",
    "plt.figure(figsize=(8, 8))\n",
    "# tag: pm_fig_1\n",
    "# title: Trace plots for alpha, beta and sigma\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "uuid": "99e44b63-168c-415a-be8f-9347f45578aa"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DeLQAU13z2ZnK5M6t915MxOlmS+Jl5rovRdMkU91zKTPWsz+9I6ftHNcivNq5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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1df42a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(x, y, c=y, marker='v')\n",
    "plt.colorbar()\n",
    "plt.grid(True)\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "for i in range(len(trace)):\n",
    "    plt.plot(x, trace['alpha'][i] + trace['beta'][i] * x)\n",
    "# tag: pm_fig_2\n",
    "# title: Sample data and regression lines from Bayesian regression\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Real Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "0562fc9b-01c8-4eae-8e57-959a6e551610"
   },
   "outputs": [],
   "source": [
    "import pytz\n",
    "import datetime as dt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('source/tr_eikon_eod_data.csv',\n",
    "                  index_col=0, parse_dates=True)\n",
    "symbols = ['GLD', 'GDX']\n",
    "data = raw[symbols]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "a3774b4d-09a8-47ce-a56e-aac894334dbd"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 1972 entries, 2010-01-04 to 2017-10-31\n",
      "Data columns (total 2 columns):\n",
      "GLD    1972 non-null float64\n",
      "GDX    1972 non-null float64\n",
      "dtypes: float64(2)\n",
      "memory usage: 46.2 KB\n"
     ]
    }
   ],
   "source": [
    "data.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "07c6dea4-fd4f-496c-86f2-e92689797fe8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1066d57f0>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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cvtWyrJ9M04wHlpmmOd6yrLUhrp0ATACwLIuUlJSmFCWI2+0O6/2aQpeXk/l/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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1d381d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot(figsize=(8, 4))\n",
    "# tag: zip_fig_1\n",
    "# title: Co-movements of traiding pair\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "uuid": "8b467729-65d9-4579-8b4c-944fb18bee4c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "GLD    0.098998\n",
       "GDX   -0.528820\n",
       "dtype: float64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.ix[-1] / data.ix[0] - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "ed244e7b-692f-4e14-b642-80ceccf221b2"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GLD</th>\n",
       "      <th>GDX</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>GLD</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.715185</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>GDX</th>\n",
       "      <td>0.715185</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          GLD       GDX\n",
       "GLD  1.000000  0.715185\n",
       "GDX  0.715185  1.000000"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "uuid": "a92a57dd-76c4-4e8b-ab75-8523fbb49435"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2010-01-04', '2010-01-05', '2010-01-06', '2010-01-07',\n",
       "               '2010-01-08', '2010-01-11', '2010-01-12', '2010-01-13',\n",
       "               '2010-01-14', '2010-01-15',\n",
       "               ...\n",
       "               '2017-10-18', '2017-10-19', '2017-10-20', '2017-10-23',\n",
       "               '2017-10-24', '2017-10-25', '2017-10-26', '2017-10-27',\n",
       "               '2017-10-30', '2017-10-31'],\n",
       "              dtype='datetime64[ns]', name='Date', length=1972, freq=None)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.index"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "uuid": "facf1920-22f9-4300-90ed-39f79d9b024c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 733776.,  733777.,  733778., ...,  736629.,  736632.,  736633.])"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "mpl_dates = mpl.dates.date2num(data.index.to_pydatetime())\n",
    "mpl_dates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "uuid": "f73eecbd-a135-4448-a5d4-8caa6259039e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1a189c6908>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AZ7up2w5cBNwjhIi2FPwU2CWlvB/4HvAwUGeXO6SUzUAj8IdwsU+C++0+fwH8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\nAf8P/y6gxkcMjqYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a187970f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates, marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('GDX')\n",
    "plt.ylabel('GLD')\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "             format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: zip_fig_2\n",
    "# title: Scatter plot of prices for GLD and GDX\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "0cf4e75d-b4ea-4822-9e25-8c837fe6049d"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -10,203, ||grad|| = 110.26: 100%|██████████| 21/21 [00:00<00:00, 1668.16it/s]  \n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as model:\n",
    "    alpha = pm.Normal('alpha', mu=0, sd=20)\n",
    "    beta = pm.Normal('beta', mu=0, sd=20)\n",
    "    sigma = pm.Uniform('sigma', lower=0, upper=50)\n",
    "    \n",
    "    y_est = alpha + beta * data['GDX'].values\n",
    "    \n",
    "    likelihood = pm.Normal('GLD', mu=y_est, sd=sigma,\n",
    "                           observed=data['GLD'].values)\n",
    "    \n",
    "    start = pm.find_MAP()\n",
    "    step = pm.NUTS()\n",
    "    trace = pm.sample(100, step, start=start, progressbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "1a64e594-4985-4413-b4b6-c8400691fbc2"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a189ce0b8>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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G43FnbJFJQ/pqf3fX6MeUCFVFeych+GobXClZEBQnsFzoOQH1De4cTSbQfIii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\ntus2Yg885NKh6hVnKEUygYr2VDZxHBrBnjzmJrTJuHMkhvLUI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atW8ZugUxVtvcNdTQzv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\ndPwUrAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1e4cdf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1a189ce0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = pm.traceplot(trace)\n",
    "plt.figure(figsize=(8, 8))\n",
    "# tag: zip_fig_3\n",
    "# title: Trace plots for alpha, beta and sigma based on GDX and GLD data\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "cd213b2f-72e3-4afb-8be3-60e61e94c7c6"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x1c1f44d7f0>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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I8QdgI/BqN3XbgWuA32iaFrpS8HNgnxDiUeAHwN+BOn+5RQjRDDQCfw0U+17w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yuqefCDzsaasxs3M7lwOs1t72GNfZ7Dhk1jwoc2tQ+sBlbTnFS34OgRbJke5CW7jiPjipkqTFVh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\nZhDw/wG0pHSMuDki9QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1c1f29ecf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.scatter(data['GDX'], data['GLD'], c=mpl_dates, marker='o')\n",
    "plt.grid(True)\n",
    "plt.xlabel('GDX')\n",
    "plt.ylabel('GLD')\n",
    "for i in range(len(trace)):\n",
    "    plt.plot(data['GDX'], trace['alpha'][i] + trace['beta'][i] * data['GDX'])\n",
    "plt.colorbar(ticks=mpl.dates.DayLocator(interval=250),\n",
    "             format=mpl.dates.DateFormatter('%d %b %y'))\n",
    "# tag: zip_fig_4\n",
    "# title: Scatter plot with \"simple\" regression lines\n",
    "# size: 90"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Further Reading"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>\n",
    "\n",
    "**Quant Platform** |\n",
    "<a href=\"http://quant-platform.com\">http://quant-platform.com</a>\n",
    "\n",
    "**Python for Finance** |\n",
    "<a href=\"http://python-for-finance.com\" target=\"_blank\">Python for Finance @ O'Reilly</a>\n",
    "\n",
    "**Derivatives Analytics with Python** |\n",
    "<a href=\"http://derivatives-analytics-with-python.com\" target=\"_blank\">Derivatives Analytics @ Wiley Finance</a>\n",
    "\n",
    "**Listed Volatility and Variance Derivatives** |\n",
    "<a href=\"http://lvvd.tpq.io\" target=\"_blank\">Listed VV Derivatives @ Wiley Finance</a>\n",
    "\n",
    "**Python Training** |\n",
    "<a href=\"http://training.tpq.io\" target=\"_blank\">Python for Finance University Certificate</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
